Answer:
19 > 1083
Step-by-step explanation:
Given: The nth term of a sequence is given by .
let βn be the nth term.
then βn = 3n²
Let x be the term which is the first one with a value greater than 1000.
19 th term is the first one with a value greater than 1000 the sequence that is βx > 1000
3x² > 1000
divide by 3
3x²/3 > 1000/3
x² > 1000/3
x² > 333.33.....
to make x the subject of the formula, square root both sides
√x² > √333.333
the square cancel the square root at x
x > √333.333
x>18.257
x > 19 approximately
19 th term is the first one with a value greater than 1000 the sequence.
that is: β19 = 3(19)²
3(316)²
=1083.
Hope it will help.
65% is bigger than 0.56 which would be 56%
Y = 1 + i
<span>(1 + i)^3 - 3 * (1 + i)^2 + k - 1 = -i </span>
<span>(1 + 3i + 3i^2 + i^3) - 3 * (1 + 2i + i^2) + k - 1 = -i </span>
<span>1 + 3i - 3 - i - 3 - 6i + 3 + k - 1 = -i </span>
<span>1 - 3 - 3 + 3 - 1 + 3i - i - 6i + k = -i </span>
<span>-3 - 4i + k = -i </span>
<span>k = 4i - i + 3 </span>
<span>k = 3i + 3 </span>
<span>k = 3 * (1 + i) </span>
<span>k = 3y</span>
Answer:
192+128+112+36=468 not really sure if this is the answer
Answer:
Let us say the domain in the first case, has the numbers. And the co-domain has the students, .
Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.
The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.
Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!
